“…Many authors have studied the work about M ϕ A−convex and strongly convex function, see [1][2][3][4][5][6][7][8][9][10]. In this paper, we firstly list several definitions.…”
Section: This Inequality Known As Hermite-hadamard Inequality For M ϕmentioning
In this paper we obtain the Hermite-Hadamard Inequality for M ϕ A-strongly convex function. Using this M ϕ A−strongly convex function we get some new theorems and corollaries.
“…Many authors have studied the work about M ϕ A−convex and strongly convex function, see [1][2][3][4][5][6][7][8][9][10]. In this paper, we firstly list several definitions.…”
Section: This Inequality Known As Hermite-hadamard Inequality For M ϕmentioning
In this paper we obtain the Hermite-Hadamard Inequality for M ϕ A-strongly convex function. Using this M ϕ A−strongly convex function we get some new theorems and corollaries.
“…For more information and recent developments on inequalities for srongly convex function, please refer to ( [1], [6], [7], [8], [12], [14], [16], [17]). …”
Section: Definition 1 [11]mentioning
confidence: 99%
“…The following definition is well-known in the literature a functions f : I → R, ∅ = I ⊂ R, is said to be convex on I if the inequality f (tx + (1 − t)y) ≤ t f (x) + (1 − t) f (y) (1) holds for all x.y ∈ I and t ∈ [0, 1] .…”
Abstract:In this paper, we establish some new results related to the left-hand of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives are strongly s-convex functions in the second sense. Some previous results are also recaptured as a special case.
“…For more information and recent developments on inequalities for strongly convex function, please refer to ( [1], [3], [8], [9], [10], [15], [17], [19], [20]). …”
Section: Definition 1 a Function F : I → R ∅ = I ⊂ R Is Said To Bementioning
Abstract:In this paper, some new generalized results related to the left-hand and the right-hand of the Hermite-Hadamard inequalities for the class of functions whose derivatives are strongly s-convex functions in the second sense are established. Some previous results are also recaptured as a special case.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.